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Volumn 33, Issue 3-4, 2003, Pages 237-259

Asymptotic derivation of a Navier condition for the primitive equations

Author keywords

Asymptotic analysis; Navier boundary conditions; Primitive equations

Indexed keywords


EID: 84887242690     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (23)
  • 1
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    • Équations de Navier-Stokes en bassin peu profond: L'approximation hydrostatique
    • P. Azérad and F. Guillén-González, Équations de Navier-Stokes en bassin peu profond: l'approximation hydrostatique, C. R. Acad. Sci. Paris Sér. I 329 (1999), 961-966.
    • (1999) C. R. Acad. Sci. Paris Sér. I , vol.329 , pp. 961-966
    • Azérad, P.1    Guillén-González, F.2
  • 2
    • 0035555953 scopus 로고    scopus 로고
    • Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics
    • P. Azérad and F. Guillén-González, Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics, SIAM J. Math. Anal. 33 (2001), 847-859.
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 847-859
    • Azérad, P.1    Guillén-González, F.2
  • 3
    • 0000657835 scopus 로고
    • Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
    • O. Besson and M.R. Laydi, Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation, Math. Modelling Numer. Anal. 26(7) (1992), 855-865.
    • (1992) Math. Modelling Numer. Anal. , vol.26 , Issue.7 , pp. 855-865
    • Besson, O.1    Laydi, M.R.2
  • 8
    • 0346997444 scopus 로고    scopus 로고
    • On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
    • T. Clopeau, A.Mikelić and R. Robert, On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions, Nonlinearity 11(6) (1998), 1625-1636.
    • (1998) Nonlinearity , vol.11 , Issue.6 , pp. 1625-1636
    • Clopeau, T.1    Mikelić, A.2    Robert, R.3
  • 11
    • 51249193194 scopus 로고
    • Essai sur le muvement d'un liquide visqueux emplissant l'espace
    • J. Leray, Essai sur le muvement d'un liquide visqueux emplissant l'espace, Acta Math. 63 (1933), 193-248.
    • (1933) Acta Math. , vol.63 , pp. 193-248
    • Leray, J.1
  • 15
    • 0000260611 scopus 로고
    • New formulation of the primitive equations of the atmosphere and applications
    • J.-L. Lions, R. Temam and S. Wang, New formulation of the primitive equations of the atmosphere and applications, Nonlinearity 5 (1992), 237-288.
    • (1992) Nonlinearity , vol.5 , pp. 237-288
    • Lions, J.-L.1    Temam, R.2    Wang, S.3
  • 16
    • 0001322085 scopus 로고
    • On the equations of the large scale ocean
    • J.-L. Lions, R. Temam and S. Wang, On the equations of the large scale ocean, Nonlinearity 5 (1992), 1007-1053.
    • (1992) Nonlinearity , vol.5 , pp. 1007-1053
    • Lions, J.-L.1    Temam, R.2    Wang, S.3
  • 17
    • 0013253496 scopus 로고
    • Sur les lois de l'équilibre et du mouvement des corps élastiques
    • C.L.M.H. Navier, Sur les lois de l'équilibre et du mouvement des corps élastiques, Mem. Acad. R. Sci. Inst. France 6 369 (1827).
    • (1827) Mem. Acad. R. Sci. Inst. France 6 , vol.369
    • Navier, C.L.M.H.1
  • 19
    • 0033416925 scopus 로고    scopus 로고
    • Existence and uniqueness of the flow of second-grade fluids with slip boundary conditions
    • C. Le Roux, Existence and uniqueness of the flow of second-grade fluids with slip boundary conditions, Arch. Rational Mech. Anal. 148 (1999), 309-356.
    • (1999) Arch. Rational Mech. Anal. , vol.148 , pp. 309-356
    • Le Roux, C.1
  • 23
    • 0030736588 scopus 로고    scopus 로고
    • Regularity results for the stationary primitive equations of the atmosphere and the ocean
    • M. Ziane, Regularity results for the stationary primitive equations of the atmosphere and the ocean, Nonlinear Anal. 28 (1997), 289-313. (Pubitemid 127423131)
    • (1997) Nonlinear Analysis, Theory, Methods and Applications , vol.28 , Issue.2 , pp. 289-313
    • Ziane, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.